What is the Equation of Plane?
The equation of a plane describes its position and orientation in three-dimensional space. It’s like a rule that tells us where all the points on the plane are located.
Suppose, you imagine a flat surface in space, its equation helps define it. This equation is like ( ax + by + cz + d = 0 ). Each letter (a, b, c, and d) represents a number, and ( x ), ( y ), and ( z ) stand for the coordinates of any point on the plane. When you put in specific numbers for ( a ), ( b ), ( c ), and ( d ), you get the equation that corresponds to a particular plane.
Some common forms of equations of plane are:
- Standard Form
- Vector Form
- Point-Normal Form
- Parametric Form
Definition of Equation of Plane
An equation of a plane is a mathematical expression that describes the relationship between the coordinates of points lying on the plane.
Equation of Plane
Equation of Plane describes its position and orientation in three-dimensional space, typically represented in the form (ax + by + cz + d = 0), where (a), (b), and (c) are coefficients representing the plane’s normal vector, and (d) is the distance from the origin along the normal vector.
In this article, we will learn about the what is the equation of a plane, its definition and general form the equation, the equation of a plane in 3D Space, a Cartesian form of an equation of a plane, the equation of a plane in intercept and parametric form, etc. At the end of this article, you will see some examples of solved problems that will provide a better understanding of the topic.
Table of Content
- What is the Equation of Plane?
- General Form of Equation of a Plane
- Equation of a Plane in Three Dimensional Space
- Methods to Find Equation of a Plane
- Equation of a Plane in Normal Form
- Equation of a Plane Passing Through Three Points
- Cartesian Form of Equation of a Plane
- Equation of a Plane in Parametric Form
Contact Us